NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex-7.1
Download the free NCERT Maths Chapter 7 Solutions for Class 10 here Coordinate Geometry in Maths Class 10 NCERT Solutions are a great resource for homework assistance. For class 10 maths 7.1 NCERT solutions Expert Bhautikstudy.com Teachers developed the NCERT Solutions. Complete solutions to all the problems in NCERT Textbook’s Chapter 7 Math Class 10 Triangles Exercise 7.1.
Class 10 Maths 7.1 NCERT Solutions Question 1.
1. Find the distance between the following pairs of points:
(i) (2, 3), (4, 1)
(ii) (-5, 7), (-1, 3)
(iii) (a, b), (- a, – b)
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 2.
2. Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns, A and B, discussed in Section 7.2?
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 3.
3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 4.
4. Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 5.
5. In a classroom, 4 friends are seated at points A, B, C and D, as shown in Fig. 7.8. Champa and Chameli walk into the class, and after observing for a few minutes, Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using the distance formula, find which of them is correct.
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 6.
6. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(i) (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0)
(ii) (- 3, 5), (3, 1), (0, 3), (- 1, – 4)
(iii) (4, 5), (7, 6), (4, 3), (1, 2)
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 7.
7. Find the point on the x-axis which is equidistant from (2, – 5) and (- 2, 9).
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 8.
8. Find the values of y for which the distance between the points P (2, – 3) and Q (10, y) is 10 units.
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 9.
9. If Q (0, 1) is equidistant from P (5, – 3) and R (x, 6), find the values of x. Also, find the distance QR and PR.
Solution:
Class 10 Maths 7.1 NCERT Solutions Question 10.
10. Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (- 3, 4).
Solution:
Maths in Class 10: Coordinate Geometry
In Class 10 Maths 7.1 NCERT Solutions Students will talk about patterns in terms that come after those that come after by adding a certain number to the terms that came before in this chapter. Additionally, they see how to calculate the sum of n successive terms and the nth term. When students tackle real-world situations, they will successfully understand Coordinate Geometry.
The area between two points whose coordinate values are given is the topic of this chapter. Take a triangle’s area, for example. Some fundamental ideas such the area of a triangle, rhombus, side-to-side distance, and intersections are covered in this chapter. You will learn about the connection between geometry and numbers in this chapter, as well as how they are used in everyday situations.
You can get alternate solutions and diagrammatic representation with the help of these Class 10 Math NCERT Solutions, which include a variety of question kinds and their answers. The solutions offered here are supplied with appropriate information in plain language. Students who thoroughly study these NCERT Solutions will be able to solve challenging problems with ease.
-Every exercise question from the NCERT textbook is included in the solution.
-Alternative approaches and diagrammatic representations will aid in your comprehensive understanding of the ideas.
-By working through these NCERT Solutions, you will become familiar with key equations and standards.
-There are various examples in this NCERT Solution that will assist you in connecting geometry and numerical concepts to real-world situations.
Every step of the solutions offered by Bhautik Study is discussed in great depth and with clarity. To help students better prepare for their board exams, subject matter experts have created the NCERT Class 10 Maths Solutions. These answers will be useful not only for studying for exams but also for completing assignments and homework.
The NCERT textbooks are frequently the source of questions on the CBSE Class 10 test, either directly or indirectly. Therefore, one of the greatest tools for getting ready and equipping oneself to tackle any kind of exam question from the chapter is the NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry.
What is the Advantage of Class 10 Maths NCERT Solutions Chapter 6 Provided by Bhautik Study?
Class 10 Maths 7.1 NCERT Solutions
Coordinate geometry is a fundamental topic in mathematics, often taught at the high school level, including in Class 10. Here’s a basic overview of what you might cover in a Class 10 coordinate geometry curriculum:
Introduction to Coordinates:
- Understanding the Cartesian coordinate system, where points are represented by ordered pairs (x, y).
- Introduction to the x-axis and y-axis, where the point of intersection is called the origin (0,0).
Plotting Points:
- Learning how to plot points on the Cartesian plane using coordinates.
- Understanding how the coordinates relate to the position of points on the plane.
Distance Formula:
- Introduction to the distance formula to calculate the distance between two points in a plane.
- Discussing the derivation of the distance formula using the Pythagorean theorem.
Midpoint Formula:
- Introducing the midpoint formula to find the midpoint between two points.
- Discussing how the midpoint formula is derived from the average of coordinates.
Sections Formula:
- Introduction to the section formula to find the coordinates of a point dividing a line segment into a given ratio.
- Understanding how to apply the section formula in different scenarios.
Slope of a Line:
- Explaining the concept of slope as the measure of steepness of a line.
- Discussing how to find the slope of a line passing through two points.
Equation of a Line:
- Introduction to different forms of linear equations, including slope-intercept form (y = mx + b), point-slope form ((y – y₁) = m(x – x₁)), and general form (Ax + By + C = 0).
- Learning how to derive and use these forms to represent lines.
Parallel and Perpendicular Lines:
- Identifying properties of lines that are parallel or perpendicular to each other.
- Learning how to determine if two lines are parallel or perpendicular.
Applications:
- Solving real-world problems involving coordinate geometry, such as finding distances, determining locations, and analyzing shapes.
Practice and Exercises:
- Providing ample practice problems and exercises to reinforce understanding and develop problem-solving skills.
These topics form the foundation of coordinate geometry in Class 10. Through theoretical explanations, examples, and practice, students gain proficiency in working with coordinates and understanding geometric concepts in a coordinate system here Class 10 Maths 7.1 NCERT Solutions play an important role.
